Information on Result #1299683
Linear OA(415, 73, F4, 6) (dual of [73, 58, 7]-code), using construction X with Varšamov bound based on
- linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using
- linear OA(413, 71, F4, 4) (dual of [71, 58, 5]-code), using Gilbert–Varšamov bound and bm = 413 > Vbs−1(k−1) = 1 499926 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4214, 4194378, F4, 24) (dual of [4194378, 4194164, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(4256, 1048650, F4, 32) (dual of [1048650, 1048394, 33]-code) | [i] | ||
| 3 | Linear OA(4247, 4194377, F4, 28) (dual of [4194377, 4194130, 29]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(4226, 1048649, F4, 28) (dual of [1048649, 1048423, 29]-code) | [i] | ||